The tensor structure of the inverse of a banded Toeplitz matrix

N. L. Zamarashkin, I. V. Oseledets, E. E. Tyrtyshnikov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

A study was conducted to investigate the tensor structure of the inverse of a banded Teoplitz matrix. It was demonstrated that TTM decomposition were estimated by the class of matrices inverse to banded Toeplitz matrices. A new representation was contained for banded Toeplitz matrices that contained only O(log2n) parameters. One of the known inversion methods for banded Toeplitz matrices was cyclic reduction.

Original languageEnglish
Pages (from-to)669-670
Number of pages2
JournalDoklady Mathematics
Volume80
Issue number2
DOIs
Publication statusPublished - Oct 2009
Externally publishedYes

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